What is the study of geometry
1 answer:
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Answer:
Interval [0.67;0.95]
Step-by-step explanation:
Hello!
You need to estimate the population proportion of grain-handling facilities that detect GM beans in shipments with a confidence interval.
The formula you have to use is:
^ρ± * √(^ρ*(1-^ρ)/n)
where ^ρ represents the sample proportion
^ρ= x/n = 17/21 = 0.809 ≅ 0.81
Confidence level 90%
=
= 1.64
Interval
0.81±1.64 * √((0.81*0.19)/21)
0.81±0.140
[0.67;0.95]
With a confidence level of 90% you'd expect that the interval [0.67;0.95] contains the population proportion of grain-handling facilities that detect GM beans in shipments.
Remember:
The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 90 to contain the value of the population mean we are trying to estimate.
The bigger the confidence level, the bigger is the chance that it contains the estimated parameter, but then again, if you were to study the whole population there is no chance you'll miss the parameter.
The smaller the confidence level, there are fewer chances that it will contain the estimated parameter, but if it does, the estimation would be more accurate than with a bigger level.
You can think it like this, a shooter that hits the target at a distance of 5 meters (low confidence level) is way better than a shooter that hits the target at a distance from 20 cm (high confidence level)
90% Confidence level is acceptable enough to have an accurate estimation of the population parameter.
I hope it helps!
Answer:
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc comprising
so
Answer:
Step-by-step explanation:
Hello!
<em>The table shows the daily sales (in $1000) of shopping mall for some randomly selected days </em>
<em>Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 </em>
<em>Days 18 27 31 40 56 55 23 </em>
<em>Use it to answer questions 13 and 14. </em>
<em>13. What is the approximate value for the modal daily sales? </em>
To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)
The modal interval is [3.1-3.5]
Now using the following formula you can calculate the Mode:
Li= Lower limit of the modal interval.
c= amplitude of modal interval.
fmax: absolute frequency of modal interval.
fprev: absolute frequency of the previous interval to the modal interval.
fpost: absolute frequency of the posterior interval to the modal interval.
<em>A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 </em>
Of all options the closest one to the estimated mode is A.
<em>14. The approximate median daily sales is … </em>
To calculate the median you have to identify its position first:
For even samples: PosMe= n/2= 250/2= 125
Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.
F(1)= 18
F(2)= 18+27= 45
F(3)= 45 + 31= 76
F(4)= 76 + 40= 116
F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]
Li: Lower limit of the median interval.
c: Amplitude of the interval
PosMe: position of the median
F(i-1)= accumulated absolute frequency until the previous interval
fi= simple absolute frequency of the median interval.
<em>A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664</em>
Of all options the closest one to the estimated mode is C.